23312000 has 128 divisors (see below), whose sum is σ = 61102080. Its totient is φ = 8832000.

The previous prime is 23311991. The next prime is 23312011. The reversal of 23312000 is 21332.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495977 + ... + 496023.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 2^23312000 is an apocalyptic number.

23312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551040).

23312000 is an abundant number, since it is smaller than the sum of its proper divisors (37790080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23312000 is an equidigital number, since it uses as much as digits as its factorization.

23312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 23312000 is about 4828.2502006421. The cubic root of 23312000 is about 285.6668492675. Note that the first 3 decimals are identical.

Adding to 23312000 its reverse (21332), we get a palindrome (23333332).

The spelling of 23312000 in words is "twenty-three million, three hundred twelve thousand".